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Critical Dynamics of Contact Line Depinning

Published online by Cambridge University Press:  15 February 2011

Deniz Ertaş  and
Mehran Kardar
Deniz Ertaş
Affiliation:
Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Mehran Kardar
Affiliation:
Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
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Abstract

The depinning of a contact line is studied as a dynamical critical phenomenon by a functional renormalization group technique. In D = 2 - ∈ “line” dimensions, the roughness exponent is ζ = ∈/3 to all orders in perturbation theory. Thus, ζ = 1/3 for the contact line, equal to the Imry-Ma estimate for equilibrium roughness. The dynamical exponent is z = 1 – 2∈/9 + O(∈2) < 1, resulting in unusual dynamical properties. In particular, a characteristic distortion length of the contact line depinning from a strong defect is predicted to initially increase faster than linearly in time. Some experiments are suggested to probe such dynamics.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 366: Symposium N – Dynamics in Small Confining Systems , 1994 , 51
Copyright
Copyright © Materials Research Society 1995

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